8032181220 has 576 divisors, whose sum is σ = 30862540800. Its totient is φ = 1649756160.

The previous prime is 8032181207. The next prime is 8032181221. The reversal of 8032181220 is 221812308.

It is not an unprimeable number, because it can be changed into a prime (8032181221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 58628992 + ... + 58629128.

It is an arithmetic number, because the mean of its divisors is an integer number (53580800).

Almost surely, 2^8032181220 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8032181220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15431270400).

8032181220 is an abundant number, since it is smaller than the sum of its proper divisors (22830359580).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

8032181220 is a wasteful number, since it uses less digits than its factorization.

8032181220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 8032181220 is about 89622.4370344837. The cubic root of 8032181220 is about 2002.6781804074.

Adding to 8032181220 its reverse (221812308), we get a palindrome (8253993528).

The spelling of 8032181220 in words is "eight billion, thirty-two million, one hundred eighty-one thousand, two hundred twenty".